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Lie algebras and algebras of associative type

โœ Scribed by N. A. Koreshkov


Book ID
110149770
Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
619 KB
Volume
88
Category
Article
ISSN
0001-4346

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In this paper, a complete generalization of Herstein's theorem to the case of Lie color algebras is obtained. Let G be an abelian group, F a field of characteristic not 2, : G ร— G โ†’ F \* an antisymmetric bicharacter. Suppose A = gโˆˆG A g is a G-graded simple associative algebra over F . ## In this p